Maths-
General
Easy

Question

Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
5 minus 0.5 x squared equals negative 0.5 x plus 2

hintHint:

A quadratic equation is when the polynomial has a degree two. A graph is a geometrical representation of an equation.
We are asked to solve the equation graphically by arranging them in a linear-quadratic equation.

The correct answer is: We are asked to solve the equation graphically by arranging them in a linear-quadratic equation.


    Step 1 of 2:
    The given equation is 5 minus 0.5 x squared equals negative 0.5 x plus 2.
    Re arranging them, we get:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 5 minus 0.5 x squared equals negative 0.5 x plus 2 space space space space space end cell row cell 0.5 x squared minus 0.5 x plus 2 minus 5 equals 0 space space space end cell row cell 0.5 x squared minus 0.5 x minus 3 equals 0 space space space space space space space space space end cell row cell 5 x squared minus 5 x minus 30 equals 0 space space space space space space space space space space space space space end cell row cell x squared minus x minus 6 equals 0 space space space space space space space space space space space space space space space space space space space end cell end table
    Here, once we rearrange it, we multiply the equation with ten to remove the decimal. Then, take out five to factorize into the simplest form.
    Step 2 of 2:
    Graph the equation to get the solution:
    .                                                
    Thus, the solution of the equation is:
    x equals negative 2 straight & x equals 3.
     

    A lot of the quadratic equations can be solved using identities and factorization. You would get a maximum of two solutions for each quadratic equation.

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